Fanout fails when summed base current exceeds the driver limit. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Seven half-ampere bases need seven-halves amperes
Seven base inputs at 1/2 A each sum to 7/2 A.
7⋅21A=27A
Above the driver limit, the budget fails
The total 7/2 A is greater than the 3 A driver limit, so this fanout is rejected.